Question

classify each figure as a line, ray, or line segment. then, show how to write it.
figure \t type \t how to write it
(a) \t circ line
circ ray
circ line segment \t
(b) \t circ line
circ ray
circ line segment \t
(c) \t circ line
circ ray
circ line segment \t

Explanation:

Part (a)

Step1: Identify the type

A ray has one endpoint and extends infinitely in one direction. The figure has an endpoint at \( C \) and extends through \( D \) infinitely. So it's a ray.

Step2: Write the ray

A ray is named with its endpoint first, then another point on the ray. So it's \( \overrightarrow{CD} \) (the arrow points from \( C \) through \( D \)).

Step1: Identify the type

A line extends infinitely in both directions. The figure has arrows at both ends, so it's a line.

Step2: Write the line

A line can be named with two points on it, with a double - headed arrow. So it's \( \overleftrightarrow{BA} \) (or \( \overleftrightarrow{AB} \)).

Step1: Identify the type

A line segment has two endpoints and a definite length. The figure has endpoints at \( E \) and \( F \), so it's a line segment.

Step2: Write the line segment

A line segment is named with its two endpoints. So it's \( \overline{EF} \) (or \( \overline{FE} \)).

Answer:

Type: ray; How to write it: \( \overrightarrow{CD} \)

Part (b)